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Finding the Fourth Proportional to 124.35, 171.66 and 74.58

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Solution

The fourth proportional to 124.35, 171.66 and 74.58 is: 102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.35 : 171.66 = 74.58 : x
  2. Step 2: Convert to fraction form
    124.35/171.66 = 74.58/x
  3. Step 3: Cross multiply
    124.35x = 171.66 × 74.58
  4. Step 4: Simplify right side
    124.35x = 12,802.31
  5. Step 5: Solve for x
    x = 12,802.31/124.35
  6. Step 6: Final answer
    x = 102.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.